Question

What is the measure of <T?
A. 60°
B. 100°
C. 110°
D. 125°​

Answer 1

The calculated measure of the angle T is 100 degrees

How to determine the measure of the angle T

From the question, we have the following parameters that can be used in our computation:

The similar figures

Such that

ABCD is similar to RSTU

Using the above as a guide, we have the following:

Angle T = Angle C

This is so because they are corresponding points

So, we have

Angle T = 360 - 125 - 60 - 75

Evaluate

Angle T = 100

Hence, the measure of the angle T is 100 degrees

Answer 2

The measure of angle T is 125° ( option D)

Congruent shapes are shapes with thesame corresponding angles and equal corresponding side length.

For two shapes to be congruent, the corresponding angles must be equal and corresponding sides must be equal.

quadrilateral BACD is congruent to quadrilateral SRUT , therefore

angle A = angle R

angle B = angle S

angle D = angle U

angle B = angle T

angle B is 125°

therefore angle T will be

angle T = 125°